Blind Identification of Overcomplete Mixture of Sources (BIOME) ## AbstractThe problem of Blind Identification of linear mixtures of independent random processes is known to be related to the diagonalization of some tensors. This problem is posed here in terms of a non-conventional joint approximate diagonalization of several matrices. In fact, a congruent transform is applied to each of these matrices, the left transform being rectangular full rank, and the right one being unitary. The application in antenna signal processing is described, and suboptimal numerical algorithms are proposed. Keywords: Blind Source Separation; Independent Component Analysis; Tensor; High Order Statistics; Joint Diagonalization; Underdetermined linear system; Overcomplete representation
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